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Integer Roots

Class 10 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsThe product of two consecutive positive odd integers is 483. Find the larger integer.Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42Expert MathematicsThe product of a number and the number obtained by adding 6 to it is 135. What is the positive original number?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41Expert MathematicsIn an examination, a total of 1600 question papers are distributed. If the number of students is \(x\) and each student receives \(x-18\) question papers, how many students are there?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 40Expert MathematicsA library has 1530 books in total. If the number of shelves is x and each shelf contains (x+21) books, how many shelves are there?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42Hard MathematicsUsing the square root method, find the solutions of the equation \(x^2=64\).Class 10Quadratic EquationsMethods of Solving Quadratic EquationsLevel 35Easy MathematicsIf \(\alpha\) and \(\beta\) are the roots of the equation \(x^2+x-6=0\), what is the value of \(\alpha^5+\beta^5\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Expert MathematicsThe roots of x^2-px+36=0 are positive integers and their difference is 5. What is p?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Medium MathematicsIf A = {x : x ∈ Z and x^2 = 9} and B = {-3, 3, 9}, what is the correct relation?Class 10SetsEqual sets and SubsetsLevel 8Easy MathematicsIf T₁ = {x : x ∈ Z, x² − 2x − 8 = 0}, which is the correct roster form of T₁?Class 10SetsSets and their representationsLevel 3Easy